11x+22=14x-78

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Solution for 11x+22=14x-78 equation:


Simplifying
11x + 22 = 14x + -78

Reorder the terms:
22 + 11x = 14x + -78

Reorder the terms:
22 + 11x = -78 + 14x

Solving
22 + 11x = -78 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.
22 + 11x + -14x = -78 + 14x + -14x

Combine like terms: 11x + -14x = -3x
22 + -3x = -78 + 14x + -14x

Combine like terms: 14x + -14x = 0
22 + -3x = -78 + 0
22 + -3x = -78

Add '-22' to each side of the equation.
22 + -22 + -3x = -78 + -22

Combine like terms: 22 + -22 = 0
0 + -3x = -78 + -22
-3x = -78 + -22

Combine like terms: -78 + -22 = -100
-3x = -100

Divide each side by '-3'.
x = 33.33333333

Simplifying
x = 33.33333333

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